Quasiconformal distortion of the Assouad spectrum and classification of polynomial spirals
Quasiconformal distortion of the Assouad spectrum and classification of polynomial spirals
We investigate the distortion of Assouad dimension and the Assouad spectrum under Euclidean quasiconformal maps. Our results complement existing conclusions for Hausdorff and box-counting dimension due to GehringâVäisälä and others. As an application, we classify polynomial spirals S a : = { x â a e i x : x âŚ